Network-Based Control of Discrete-Time Descriptor Systems with Random Delays

Abstract

This paper addresses the network-based control problem for a class of descriptor systems in the discrete-time domain with random delays. By modeling the sensor-to-controller and controller-to-actuator delays as Markovian chains, the closed-loop system can be expressed as a jump linear descriptor system with two modes. The stochastically admissible necessary and sufficient condition for the closed-loop system is constructed. An explicit expression for the desired controller is given without any system decomposition. The obtained results are formulated in terms of strict linear matrix inequalities (LMIs). In addition, an example is given to illustrate the effectiveness of the proposed approach.